TY - THES
T1 - Point Pattern Analysis on a Sphere
AU - Lawrence, Thomas Joseph
PY - 2018
Y1 - 2018
N2 - This thesis develops statistical methodology for analysing spatial patterns of points on a sphere. The main results include relevant theory, methods for estimating point process intensity and summary functions such as Ripley's K function, methods for plotting these estimates which have useful properties, and models on the sphere such as the analogue of the Neyman-Scott cluster process. These methods are implemented in code in a software package, and which have been used to analyse the spatial pattern of galaxies. Other possible applications include analysis of initiation points of cyclones, and locations of meteorite impacts, on the Earth's surface.
AB - This thesis develops statistical methodology for analysing spatial patterns of points on a sphere. The main results include relevant theory, methods for estimating point process intensity and summary functions such as Ripley's K function, methods for plotting these estimates which have useful properties, and models on the sphere such as the analogue of the Neyman-Scott cluster process. These methods are implemented in code in a software package, and which have been used to analyse the spatial pattern of galaxies. Other possible applications include analysis of initiation points of cyclones, and locations of meteorite impacts, on the Earth's surface.
KW - Nearest-neighbour distance
KW - Point process on sphere
KW - Spherical data
KW - Simulation envelopes
KW - Thomas process
KW - Empty space function
KW - Pair correlation function
KW - Ripley's K function
U2 - 10.4225/23/5a85314e9cf84
DO - 10.4225/23/5a85314e9cf84
M3 - Master's Thesis
ER -